Question

A parallelopiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7), parallel to the coordinate planes. The length of a diagonal of the parallelopiped is

(a) 7 units

(b) 38 units

(c) 55 units

(d) None of the above

Answer 1

Correct option (a) 7 units

Explanation:

A parallelopiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7), parallel to the coordinate planes.

Let a, b and c be the lengths of edges, then

a = 5 - 2 = 3, b = 9 - 3 = 6 and c = 7 - 5 = 2

So, the length of diagonal of a parallelopiped